In case the City Council shall assess any lands through which a street or highway shall be by it laid out, altered, or resurveyed as provided in the preceding sections, any person owning or interested in such lands who is dissatisfied with the amount of assessment so made against said lands, may have the same proceedings for relief in respect to such assessment as if such person were dissatisfied with an award of damages in the case of laying out, altering, or resurveying a street or highway in said City.